$1.$ Which statement is incorrect regarding the method of joints?

A$.$ It can be applied to three$-$dimensional trusses without any modification.

B$.$ It involves solving simultaneous equations for each joint.

C$.$ It assumes members are pin$-$connected.

D$.$ It can identify zero$-$force members in the truss.

$3.$ If a truss has a joint with a horizontal force of $9$ kN to the right and a vertical force of $12$ kN downwards, what is the direction of the resultant force relative to the horizontal?

A$.30$ degrees

B$.53\mathrm{.}13$ degrees

C$.36\mathrm{.}87$ degrees

D$.45$ degrees

$4.$ Which of the following statements is true about the method of joints?

A$.$ It assumes all members are subject to shear forces.

B$.$ It is only applicable to indeterminate structures.

C$.$ It uses the equilibrium of forces at each joint to find

unknown member forces.

D$.$ It is used to analyze bending moments in truss members.

$5.$ In a truss joint, if member AB is in tension and member BC is in compression, what is the relative orientation of these members with respect to each other?

A$.$ Collinear

B$.$ Coplanar

C$.$ Parallel

$6.$ If a truss joint is in equilibrium, what must be true regarding the sum of the forces acting on the joint?

A$.$ They must all cancel each other out.

B$.$ They must all be negative.

C$.$ They must all be positive.

D$.$ They must all be parallel.

$8.$ If a truss has $6$ joints and $10$ members, the number of equilibrium equations available using the method of joints is:

A$.10$

B$.18$

C$.6$

D$.12$

$10.$ Given that joint A in a truss is connected to members AB and AC$,$ and there is no external load or support reaction at joint A$,$ what can be inferred about members AB and AC$?$

A$.$ The members must be of equal length.

B$.$ One member is in tension and the other in compression.

C$.$ Both members are zero$-$force members.

D$.$ Both members carry the same force.

$11.$ In a truss joint, if member AB and member BC are zero$-$force members, what can be inferred about the configuration of these members?

A$.$ They are collinear to each other.

B$.$ They are perpendicular to each other.

C$.$ They are parallel to each other.

D$.$ They are connected to each other.